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Finding the Third Proportional to 41,178 and 85,839

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Solution

The third proportional to 41,178 and 85,839 is: 178,938.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,178 : 85,839 = 85,839 : x
  2. Step 2: Convert to fraction form
    41,178/85,839 = 85,839/x
  3. Step 3: Cross multiply
    41,178x = 85,839 × 85,839
  4. Step 4: Simplify right side
    41,178x = 7,368,333,921
  5. Step 5: Solve for x
    x = 7,368,333,921/41,178
  6. Step 6: Final answer
    x = 178,938.61

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.